You may benefit from learning more about "non-owned and renters' aircraft insurance." You'll get many opinions and some information here, but may be best served by looking at the websites of various providers, including Avemco, AOPA, EAA (if a member), USAA, Starr, Travers, and other providers. Google will get you lots of information, and searching this website should have some good info, too.
My comments here are extremely simplified and may not be sufficient. You should talk with aviation insurance professionals.
The insurance provides certain amounts of liability insurance, typically with a per-passenger sub-limit. This covers things you damage (and/or people you injure) where you are found legally responsible.
It also provides insurance to cover physical damage to the airplane. You should talk with your flight school to see what they require and/or recommend.
I personally found most of the policies were similarly priced with similar coverages. When you buy insurance, you are essentially buying "a promise to pay."
If you are a high earner, have substantial assets, or expect you will down the line, your situation is more complicated and you should talk with your own advisors.
Insurance is straightforward, just takes a little learning, and you'll feel more comfortable with it. Congratulations on your flying progress and welcome to POA!
